Putinar
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Related Articles from SNS
Semidefinite Programming Certificates for Synchronization of Kuramoto Oscillators on Arcs
arXiv:2606.03591v1 Announce Type: cross Abstract: A class of Kuramoto models with a general coupling function that can be expressed in terms of a finite number of harmonics, each comprising sinusoidal terms, is studied. We propose a novel approach for certifying local phase synchronization in this class for all initial conditions lying on an arc. The trace parametrization property and Gram matrix representation of a trigonometric polynomial are utilized along with Putinar's...